A form of refined Roth's theorem and its application to the abc-conjecture

2024/07/25 by Pei-Chu Hu, Hu, Pei-Chu, Bao Qin Li +1
Engineering · Mathematics · #11A41 #11E95 #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Limits and Structures in Graph Theory #Number Theory (math.NT) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2407.18406

openalex publication_date 2024/07/25 · openalex created_date 2024/08/04 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a form of refined Roth's theorem. As an application, we prove a special case of the abc-conjecture.

Related

• Roth's Theorem implies a Weakened Version of the ABC Conjecture for Special Cases
• A more general abc conjecture
• Baker's Explicit abc-Conjecture and applications
• Two Restricted ABC Conjectures
• On the abc and the abcd conjectures